Schryer-Walker quasi-exact solutions to the Landau-Lifshitz-Gilbert equations

James P. Braselton; Martha L. Abell; Lorraine M. Braselton

doi:10.1016/S0096-3003(00)00083-7

Schryer-Walker quasi-exact solutions to the Landau-Lifshitz-Gilbert equations

James P. Braselton, Martha L. Abell, Lorraine M. Braselton

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

Abstract

The Landau-Lifshitz-Gilbert (LLG) equations describe the dynamics of ferromagnets. Using various assumptions, several exact solutions to this nonlinear system are determined in Refs. [Phys. Rev. Lett. 65 (1990) 787; J.F. Dillon, Domains and domain walls, in: G.T. Rado, H. Suhl (Eds.), A Treatise on Modern Theory and Materials. Vol. 3: Magnetism, Academic Press, New York, 1963; J. Nonlinear Mech. 36(4) (2001) 571; J. Appl. Phys. 45 (1974) 5406; Phys. Rev. B 43 (1991) 5908]. This paper generalizes these previous results and develops several quasi-exact solutions. The accuracy of these quasi-exact solutions is illustrated in several examples.

Original language	English
Pages (from-to)	151-167
Number of pages	17
Journal	Applied Mathematics and Computation
Volume	124
Issue number	2
DOIs	https://doi.org/10.1016/S0096-3003(00)00083-7
State	Published - 2001

Scopus Subject Areas

Computational Mathematics
Applied Mathematics

Keywords

Landau-Lifshitz-Gilbert equations
Magnetization
Nonlinear system of partial differential equations
Partial differential equations (nonlinear system of)

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10.1016/S0096-3003(00)00083-7

Cite this

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title = "Schryer-Walker quasi-exact solutions to the Landau-Lifshitz-Gilbert equations",

abstract = "The Landau-Lifshitz-Gilbert (LLG) equations describe the dynamics of ferromagnets. Using various assumptions, several exact solutions to this nonlinear system are determined in Refs. [Phys. Rev. Lett. 65 (1990) 787; J.F. Dillon, Domains and domain walls, in: G.T. Rado, H. Suhl (Eds.), A Treatise on Modern Theory and Materials. Vol. 3: Magnetism, Academic Press, New York, 1963; J. Nonlinear Mech. 36(4) (2001) 571; J. Appl. Phys. 45 (1974) 5406; Phys. Rev. B 43 (1991) 5908]. This paper generalizes these previous results and develops several quasi-exact solutions. The accuracy of these quasi-exact solutions is illustrated in several examples.",

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AU - Abell, Martha L.

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N2 - The Landau-Lifshitz-Gilbert (LLG) equations describe the dynamics of ferromagnets. Using various assumptions, several exact solutions to this nonlinear system are determined in Refs. [Phys. Rev. Lett. 65 (1990) 787; J.F. Dillon, Domains and domain walls, in: G.T. Rado, H. Suhl (Eds.), A Treatise on Modern Theory and Materials. Vol. 3: Magnetism, Academic Press, New York, 1963; J. Nonlinear Mech. 36(4) (2001) 571; J. Appl. Phys. 45 (1974) 5406; Phys. Rev. B 43 (1991) 5908]. This paper generalizes these previous results and develops several quasi-exact solutions. The accuracy of these quasi-exact solutions is illustrated in several examples.

AB - The Landau-Lifshitz-Gilbert (LLG) equations describe the dynamics of ferromagnets. Using various assumptions, several exact solutions to this nonlinear system are determined in Refs. [Phys. Rev. Lett. 65 (1990) 787; J.F. Dillon, Domains and domain walls, in: G.T. Rado, H. Suhl (Eds.), A Treatise on Modern Theory and Materials. Vol. 3: Magnetism, Academic Press, New York, 1963; J. Nonlinear Mech. 36(4) (2001) 571; J. Appl. Phys. 45 (1974) 5406; Phys. Rev. B 43 (1991) 5908]. This paper generalizes these previous results and develops several quasi-exact solutions. The accuracy of these quasi-exact solutions is illustrated in several examples.

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KW - Magnetization

KW - Nonlinear system of partial differential equations

KW - Partial differential equations (nonlinear system of)

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JO - Applied Mathematics and Computation

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Schryer-Walker quasi-exact solutions to the Landau-Lifshitz-Gilbert equations

Abstract

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Keywords

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